scholarly journals Effective spin-12description of transverse-field-induced random fields in dipolar spin glasses with strong single-ion anisotropy

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
S. M. A. Tabei ◽  
F. Vernay ◽  
M. J. P. Gingras
Keyword(s):  
Random Fields ◽  
Spin Glasses ◽  
Transverse Field ◽  
Effective Spin

scholarly journals Specific heat and nonlinear susceptibility in spin glasses with random fields

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
M. V. Romitti ◽  
F. M. Zimmer ◽  
C. V. Morais ◽  
S. G. Magalhaes
Keyword(s):  
Specific Heat ◽  
Random Fields ◽  
Spin Glasses ◽  
Nonlinear Susceptibility

scholarly journals Ergodic and localized regions in quantum spin glasses on the Bethe lattice

2017 ◽  
Vol 375 (2108) ◽  
pp. 20160424 ◽  
Author(s):  
G. Mossi ◽  
A. Scardicchio
Keyword(s):  
Spin Glass ◽  
Spin Glasses ◽  
Quantum Dynamics ◽  
Bethe Lattice ◽  
Transverse Field ◽  
Quantum Systems ◽  
Quantum Spin ◽  
Many Body ◽  
Spin Glass Phase ◽  
Ising Spin

By considering the quantum dynamics of a transverse-field Ising spin glass on the Bethe lattice, we find the existence of a many-body localized (MBL) region at small transverse field and low temperature. The region is located within the thermodynamic spin glass phase. Accordingly, we conjecture that quantum dynamics inside the glassy region is split into a small MBL region and a large delocalized (but not necessarily ergodic) region. This has implications for the analysis of the performance of quantum adiabatic algorithms. This article is part of the themed issue ‘Breakdown of ergodicity in quantum systems: from solids to synthetic matter’.

Progress in Spin Glasses and Random Fields – Research with a Special Purpose Computer

1985 ◽  
Vol 63 ◽  
Author(s):  
A. T. Ogielski
Keyword(s):  
Numerical Simulations ◽  
Spin Glass ◽  
Magnetic Materials ◽  
Random Fields ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Purpose Computer ◽  
Special Purpose Computer

ABSTRACTExtensive numerical simulations of random magnetic materials have been recently performed at AT&T Bell Laboratories with a fast specially designed computer. I will discuss certain issues concerning the use of specialized computers in research, and I will review some major results obtained in simulations of a three-dimensional spin glass and an antiferromagnet with random fields.

DOMAIN WALLS IN THE TRANSVERSE FIELD ISING SPIN GLASSES

Fractals ◽  
1996 ◽  
Vol 04 (03) ◽  
pp. 401-406
Author(s):  
MAI SUAN LI ◽  
MAREK CIEPLAK
Keyword(s):  
Domain Wall ◽  
Spin Glasses ◽  
Domain Walls ◽  
Mean Field ◽  
Fractal Dimensionality ◽  
Transverse Field ◽  
Quantum Fluctuations ◽  
Field Method ◽  
Ising Spin ◽  
Local Mean

Interfaces in Ising spin glasses in the transverse field are studied by the local mean field method. The quantum fluctuations are found to make the length of domain walls shorter and smoother and to reduce the fractal dimensionality of the wall. The domain wall are almost as narrow as in the classical Ising case.

Mathematics and Innovation in Engineering

2008 ◽  
Vol 380 ◽  
pp. 3-14
Author(s):  
Elena Beretta ◽  
Alberto Gandolfi ◽  
C.C.A. Sastri
Keyword(s):  
Markov Chains ◽  
Large Deviations ◽  
Random Fields ◽  
Spin Glasses ◽  
Markov Random Fields ◽  
Imaging Technologies ◽  
Inverse Conductivity Problem ◽  
Markov Random ◽  
The Way ◽  
Conductivity Problem

We present some examples of mathematical discoveries whose original import was mainly theoretical but which later ended up triggering extraordinary ad- vances in engineering, sometimes all the way down to technological realizations and market products. The examples we cite include Markov chains and Markov random fields, spin glasses, large deviations and the inverse conductivity problem, and their effects in various areas such as communication and imaging technologies.

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